Finding the Third Proportional to 200,712 and 275,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,712 : 275,227.50 = 275,227.50 : x
2. Step 2: Convert to fraction form
   200,712/275,227.50 = 275,227.50/x
3. Step 3: Cross multiply
   200,712x = 275,227.50 × 275,227.50
4. Step 4: Simplify right side
   200,712x = 75,750,176,756.25
5. Step 5: Solve for x
   x = 75,750,176,756.25/200,712
6. Step 6: Final answer
   x = 377,407.31